Question

In line has intercepts $a$ and $b$ on the coordinate axes. If keeping the origin fixed, the coordinate axes are rotated through ${90}^0$, the same line intercepts $\text{p}$ and $\text{q}$, then

• A. $p=a,q=b$
• B. $p=b,q=a$
• C. $p=-b,q=-a$
• D. $p=b,q=-a$

Answer 1

The correct option is D $p=b,q=-a$

If rotated clockwise then coordinate be (b,-a)

$\therefore p=b$ and $\text{q}=-a$